Scholarlink

<p>In this paper, a non-autonomous stochastic food-chain chemostat model with Haldane functional response is investigated, where stochastic perturbation of environmental fluctuations on the washout rate is simulated through the Ornstein–Uhlenbeck process. By using the pathwise analysis method from dynamical systems, the existence and the uniqueness of the global positive solution are obtained. Moreover, by constructing suitable Lyapunov functions, different conditions and reasons for the extinction of microorganisms are derived. Further, the asymptotic properties of solution for the stochastic system over long time scales are analyzed. Finally, numerical simulations show that stochastic perturbation to the washout rate affects the survival of microorganisms significantly. Specifically, higher fluctuation intensity can accelerate microbial extinction, while faster regression speed can facilitate microbial coexistence. These findings elucidate how the washout rate in an uncertain environment affects the survival of microorganisms, and provide insights for reducing microbial extinction risks in the stochastic environments.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Dynamic behavior of a stochastic chemostat model with food chain and Haldane functional response

  • 期刊论文

  • 发表日期：

    2026年7月1日

查看全文
  • Xin Xu,
  • Baodan Tian,
  • Yanhong Qiu,
  • Hailing Wang

摘要

In this paper, a non-autonomous stochastic food-chain chemostat model with Haldane functional response is investigated, where stochastic perturbation of environmental fluctuations on the washout rate is simulated through the Ornstein–Uhlenbeck process. By using the pathwise analysis method from dynamical systems, the existence and the uniqueness of the global positive solution are obtained. Moreover, by constructing suitable Lyapunov functions, different conditions and reasons for the extinction of microorganisms are derived. Further, the asymptotic properties of solution for the stochastic system over long time scales are analyzed. Finally, numerical simulations show that stochastic perturbation to the washout rate affects the survival of microorganisms significantly. Specifically, higher fluctuation intensity can accelerate microbial extinction, while faster regression speed can facilitate microbial coexistence. These findings elucidate how the washout rate in an uncertain environment affects the survival of microorganisms, and provide insights for reducing microbial extinction risks in the stochastic environments.